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18 January, 07:19

How to solve system by substitution

X+y=10

X-y=2

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Answers (1)
  1. 18 January, 10:52
    0
    x = 6, y = 4

    Step-by-step explanation:

    Solve the following system:

    {x + y = 10

    x - y = 2

    Hint: | Choose an equation and a variable to solve for.

    In the first equation, look to solve for y:

    {x + y = 10

    x - y = 2

    Hint: | Solve for y.

    Subtract x from both sides:

    {y = 10 - x

    x - y = 2

    Hint: | Perform a substitution.

    Substitute y = 10 - x into the second equation:

    {y = 10 - x

    2 x - 10 = 2

    Hint: | Choose an equation and a variable to solve for.

    In the second equation, look to solve for x:

    {y = 10 - x

    2 x - 10 = 2

    Hint: | Isolate terms with x to the left hand side.

    Add 10 to both sides:

    {y = 10 - x

    2 x = 12

    Hint: | Solve for x.

    Divide both sides by 2:

    {y = 10 - x

    x = 6

    Hint: | Perform a back substitution.

    Substitute x = 6 into the first equation:

    {y = 4

    x = 6

    Hint: | Sort results.

    Collect results in alphabetical order:

    Answer: {x = 6, y = 4
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